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Mirror symmetry for higher genus curves is usually formulated and studied in terms of Landau–Ginzburg models; however the critical locus of the superpotential is arguably of greater intrinsic relevance to mirror symmetry than the whole Landau–Ginzburg model. Accordingly, we propose a new approach to the A-model of the mirror, viewed as a trivalent configuration of rational curves together with some extra data at the nodal points. In this context, we introduce a version of Lagrangian Floer theory and the Fukaya category for trivalent graphs, and show that homological mirror symmetry holds, namely, that the Fukaya category of a trivalent configuration of rational curves is equivalent to the derived category of a non-Archimedean generalized Tate curve. To illustrate the concrete nature of this equivalence, we show how explicit formulas for theta functions and for the canonical map of the curve arise naturally under mirror symmetry. [ABSTRACT FROM AUTHOR]

We describe the Loewner chains of the real locus of a class of real rational functions whose critical points are on the real line. Our main result is that the poles of the rational function lead to explicit formulas for the dynamical system that governs the driving functions. Our formulas give a simple method for mapping the class of rational functions into solutions to a non-trivial system of quadratic equations, and for directly showing that the curves in the real locus satisfy geometric commutation. These results are entirely self-contained and have no reliance on probabilistic objects, but make use of an integral of motion for the Loewner chain that is motivated by ideas from conformal field theory. We also show that the dynamics of the driving functions are a special case of the Calogero–Moser integrable system, restricted to a particular submanifold of phase space carved out by the Lax matrix. Our approach complements a recent result of Peltola and Wang, who showed that the real locus is the deterministic κ → 0 limit of the multiple SLE (κ) curves. [ABSTRACT FROM AUTHOR]

The collocation boundary element method, as developed and taught in the traditional books, suffers from severe inconsistencies, partly responsible for the method's lack of clarity and broader applicability (not to mention the uncontrollable proliferation of misleading alternatives that only add to more confusion). This has been recently corrected, as summarized in this review paper, in which we report the proposition of a convergence theorem for the general, just consistent, three-dimensional isoparametric formulation of potential and elasticity problems (https://doi.org/10.1016/j.enganabound.2023.01.017), and also introduce the not interchangeable concepts of nodes and loci, for boundary displacements and tractions in elasticity, respectively, as well as of points, for domain sources. We have implemented, for both two-dimensional potential and elasticity problems, real-variable (https://doi.org/10.1016/j.enganabound.2023.01.015, https://doi.org/10.1016/j.enganabound.2023.03.026) and—still better—complex-variable (https://doi.org/10.1016/j.enganabound.2023.04.024) codes for generally high-order, curved elements, which effortlessly enable evaluations with numerical precision that is only machine-limited and only resorts to the problem's mathematics—plus Gauss–Legendre quadrature of all integrals' regular parts. (Ad hoc mechanical interpretations, "regularizations," interval subdivisions, special quadrature formulas, or variable transformations are neither strictly speaking correct nor generally applicable nor required.) Despite the singular kernels that enter diverse forms of Somigliana's identity (as for evaluating stress results at a domain point), problem-unrelated singularities do not come up in a mathematically consistent formulation and implementation: singularities are just man-made. A few examples of highly challenging topological issues are presented. We show that fracture mechanics problems may be dealt with seamlessly, and we manage to objectively assess a problem's topological consistency, precision, accuracy, and round-off errors related to a given mesh discretization and software-conditioned computational digits. [ABSTRACT FROM AUTHOR]

Motivated by the classical Rodrigues' formula, we study below the root asymptotic of the polynomial sequence R [ α n ] , n , P (z) = d [ α n ] P n (z) d z [ α n ] , n = 0 , 1 , ⋯ where P(z) is a fixed univariate polynomial, α is a fixed positive number smaller than deg P , and [ α n ] stands for the integer part of α n . Our description of this asymptotic is expressed in terms of an explicit harmonic function uniquely determined by the plane rational curve emerging from the application of the saddle point method to the integral representation of the latter polynomials using Cauchy's formula for higher derivatives. As a consequence of our method, we conclude that this curve is birationally equivalent to the zero locus of the bivariate algebraic equation satisfied by the Cauchy transform of the asymptotic root-counting measure for the latter polynomial sequence. We show that this harmonic function is also associated with an abelian differential having only purely imaginary periods and the latter plane curve belongs to the class of Boutroux curves initially introduced in Bertola (Anal Math Phys 1: 167–211, 2011), Bertola and Mo (Adv Math 220(1): 154–218, 2009). As an additional relevant piece of information, we derive a linear ordinary differential equation satisfied by { R [ α n ] , n , P (z) } as well as higher derivatives of powers of more general functions. [ABSTRACT FROM AUTHOR]

Considering a non-Hermitian version of p-wave Kitaev chain in the presence of additional second nearest neighbour tunnelling, we study dynamical quantum phase transition (DQPT) which accounts for the vanishing Loschmidt amplitude. The locus of the Fisher's zero traces a continuous path on the complex time plane for the Hermitian case while it becomes discontinuous for non-Hermitian cases. This further leads to the half-unit jumps in the winding number characterizing a dynamical topological aspect of DQPT for non-Hermitian Hamiltonian. Uncovering the interplay between non-Hermiticity and long-range tunnelling, we find these features to be universally present irrespective of the additional second nearest neighbour tunnelling terms as long as non-Hermiticity is preserved. The upper panel depicts the discontinuity in Fisher's zeros exactly on the imaginary axis. The lower panel demonstrates the half-qunatized jumps in the dynamical winding number corresponding to such discontinuous jump. [ABSTRACT FROM AUTHOR]

We discuss various applications of a uniform vanishing result for the graded components of the finite length Koszul module associated to a subspace K ⊆ ⋀ 2 V , where V is a vector space. Previously Koszul modules of finite length have been used to give a proof of Green's Conjecture on syzygies of generic canonical curves. We now give applications to effective stabilization of cohomology of thickenings of algebraic varieties, divisors on moduli spaces of curves, enumerative geometry of curves on K3 surfaces and to skew-symmetric degeneracy loci. We also show that the instability of sufficiently positive rank 2 vector bundles on curves is governed by resonance and give a splitting criterion. [ABSTRACT FROM AUTHOR]

Complex-balanced mass-action systems are some of the most important types of mathematical models of reaction networks, due to their widespread use in applications, as well as their remarkable stability properties. We study the set of positive parameter values (i.e., reaction rate constants) of a reaction network G that, according to mass-action kinetics, generate dynamical systems that can be realized as complex-balanced systems, possibly by using a different graph G ′ . This set of parameter values is called the disguised toric locus of G. The R -disguised toric locus of G is defined analogously, except that the parameter values are allowed to take on any real values. We prove that the disguised toric locus of G is path-connected, and the R -disguised toric locus of G is also path-connected. We also show that the closure of the disguised toric locus of a reaction network contains the union of the disguised toric loci of all its subnetworks. [ABSTRACT FROM AUTHOR]

The moduli space of holomorphic differentials on curves of genus g admits a natural action of the group . The study of orbits of this action and their closures has attracted the interest of a wide range of researchers in the last few decades. In the 2000s, C. McMullen described an infinite family of orbifolds that are closures of such orbits in the space of holomorphic differentials on curves of genus 2. In spaces of holomorphic differentials on curves of higher genera, well-known examples of orbifolds that are unions of -orbit closures are Prym eigenform loci. They are nonempty for surfaces of genus at most 5. This paper presents the first nontrivial calculations of the number of connected components in Prym eigenform loci for surfaces of maximum possible genus. [ABSTRACT FROM AUTHOR]

The impulse to study this topic came from a variant of the Wallace-Simson theorem, which deals with the locus of the point P such that the points that are symmetric to P with respect to three lines in the plane are collinear. A 3D generalization can be as follows: Given four straight lines which are parallel to a plane. Determine the locus of the point P such that points that are symmetric to P with respect to these four lines are coplanar. Surprisingly, the locus of P is a cylinder of revolution with the axis which is perpendicular to the fixed plane. Moreover, all planes given by points that are symmetric with an arbitrary point P of the locus with respect to the given four lines pass through a fixed line f. While in the planar version the fixed element is the orthocenter of the triangle given by the three lines, the role of the fixed line f with respect to the four given lines is not obvious. [ABSTRACT FROM AUTHOR]

Given a surjective endomorphism f : X → X on a projective variety over a number field, one can define the arithmetic degree α f (x) of f at a point x in X. The Kawaguchi–Silverman Conjecture (KSC) predicts that any forward f-orbit of a point x in X at which the arithmetic degree α f (x) is strictly smaller than the first dynamical degree δ f of f is not Zariski dense. We extend the KSC to sAND (= small Arithmetic Non-Density) Conjecture that the locus Z f (d) of all points of small arithmetic degree is not Zariski dense and verify this sAND Conjecture for endomorphisms on projective varieties including surfaces, HyperKähler varieties, abelian varieties, Mori dream spaces, simply connected smooth varieties admitting int-amplified endomorphisms, smooth threefolds admitting int-amplified endomorphisms, and some fibre spaces. We show the equivalence of the sAND Conjecture and another conjecture on the periodic subvarieties of small dynamical degree; we also show the close relations between the sAND Conjecture and the Uniform Boundedness Conjecture of Morton and Silverman on endomorphisms of projective spaces and another long-standing conjecture on Uniform Boundedness of torsion points in abelian varieties. [ABSTRACT FROM AUTHOR]

"Why are millions of dollars worth of orders being left unpaid?". With tweets like this questioning brands' policies, activists advocating for sustainable fashion re-discuss material starting points that are assumed by fashion brands, who argue that they are sustainable because they care about their workers' conditions. This paper argues that activists use tweets to open subdiscussions on material starting points to engage citizens and consumers, re-discussing factual data that brands take for granted, such as the fact that they provide fair conditions for their garment workers. Activists justify their opening of subdiscussions, often through an argumentative pattern that includes an argument based on the locus from effects to cause. They argue that if there are negative effects, the brand cannot claim to care about the conditions of its workers. In discussing how subdiscussions are used by fashion activists, this paper also introduces a conceptualization of Twitter argumentation as a discussion that is not isolated, but is part of a polylogical argumentation that takes place in different venues. For this reason, the argumentation used in tweets is reconstructed as a response to a fashion brand's communication campaigns around sustainability, which extend beyond the confines of Twitter. As an empirical illustration, this paper is based on the campaign targeting fashion retailer Primark; the dataset includes the brand's website as well as activists' tweets. [ABSTRACT FROM AUTHOR]

This is the first in a series of papers about foliations in derived geometry. After introducing derived foliations on arbitrary derived stacks, we concentrate on quasi-smooth and rigid derived foliations on smooth complex algebraic varieties and on their associated formal and analytic versions. Their truncations are classical singular foliations defined in terms of differential ideals in the algebra of forms. We prove that a quasi-smooth rigid derived foliation on a smooth complex variety X is formally integrable at any point, and, if we suppose that its singular locus has codimension ≥ 2 , its analytification is a locally integrable singular foliation on the associated complex manifold X h . We then introduce the derived category of perfect crystals on a quasi-smooth rigid derived foliation on X, and prove a Riemann-Hilbert correspondence for them when X is proper. We discuss several examples and applications. [ABSTRACT FROM AUTHOR]

We prove non-degeneracy of the cohomological bulk and boundary traces for general open-closed Landau–Ginzburg models associated to a pair (X, W), where X is a non-compact complex manifold with trivial canonical line bundle and W is a complex-valued holomorphic function defined on X, assuming only that the critical locus of W is compact (but may not consist of isolated points). These results can be viewed as certain "deformed" versions of Serre duality. The first amounts to a duality property for the hypercohomology of the sheaf Koszul complex of W, while the second is equivalent with the statement that a certain power of the shift functor is a Serre functor on the even subcategory of the Z 2 -graded category of topological D-branes of such models. [ABSTRACT FROM AUTHOR]

We study center power with respect to circles derived from Poncelet 3-periodics (triangles) in a generic pair of ellipses as well as loci of their triangle centers. We show that (i) for any concentric pair, the power of the center with respect to either circumcircle or Euler's circle is invariant, and (ii) if a triangle center of a 3-periodic in a generic nested pair is a fixed linear combination of barycenter and circumcenter, its locus over the family is an ellipse. [ABSTRACT FROM AUTHOR]

We prove the sharp upper bound of at most 52 lines on a complex K3\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$K3$$\end{document}–surface of degree 4 with a non-empty singular locus. We also classify the configurations of more than 48 lines on smooth complex quartics. [ABSTRACT FROM AUTHOR]

We study a family of gradient obstacle problems on a compact Riemannian manifold. We prove that the solutions of these free boundary problems are uniformly semiconcave and, as a consequence, we obtain some fine convergence results for the solutions and their free boundaries. More precisely, we show that the elastic and the λ -elastic sets of the solutions Hausdorff converge to the cut locus and the λ -cut locus of the manifold. [ABSTRACT FROM AUTHOR]

The spatial organization of chromatin at the scale of topologically associating domains (TADs) and below displays large cell-to-cell variations. Up until now, how this heterogeneity in chromatin conformation is shaped by chromatin condensation, TAD insulation, and transcription has remained mostly elusive. Here, we used Hi-M, a multiplexed DNA-FISH imaging technique providing developmental timing and transcriptional status, to show that the emergence of TADs at the ensemble level partially segregates the conformational space explored by single nuclei during the early development of Drosophila embryos. Surprisingly, a substantial fraction of nuclei display strong insulation even before TADs emerge. Moreover, active transcription within a TAD leads to minor changes to the local inter- and intra-TAD chromatin conformation in single nuclei and only weakly affects insulation to the neighboring TAD. Overall, our results indicate that multiple parameters contribute to shaping the chromatin architecture of single nuclei at the TAD scale. Here the authors applied their recently developed multiplexed DNA-FISH Hi-M method to dissect the sources of heterogeneity in topologically associating domain (TAD)-like organization during Drosophila embryogenesis. This single-nucleus analysis allows them to reveal that multiple parameters contribute to shaping the trace of the chromatin path from a single nucleus. [ABSTRACT FROM AUTHOR]

We analyze the BPS equations in the "superstratum sector" of three-dimensional gauged supergravity. We obtain multi-parameter supersymmetric solutions that include elliptical deformations of the supertubes that underlie standard superstrata. We uplift the three-dimensional solutions to obtain the corresponding six-dimensional geometries. This yields new families of elliptically-deformed, ambi-bolar hyper-Kähler geometries in four dimensions with a non-tri-holomorphic U(1) isometry. We also find a new family of scaling superstrata whose S-dual lives entirely within the NS-sector of supergravity, and will thus be more amenable to exact analysis using string probes. In all these new superstrata, including the scaling ones, if the momentum charge is non-zero we find that the ellipse stays away from the degeneration locus in which the ellipse becomes flat. [ABSTRACT FROM AUTHOR]

Williams asymptotic expansions are widely used to represent mechanical fields at the vicinity of crack-tips in plane elastic media. For practical applications, series solutions have to be truncated and it is believed that a better accuracy can be achieved by retaining more terms in the summations. The influence of the truncation on the accuracy can be quantified comparing truncated closed-form Williams series solutions available for some fracture configurations to their corresponding complex exact counterparts. The computation of 2D absolute error fields reveals astonishing patterns in which appear points with numerically zero error implying the existence of loci where truncated series can provide exact results. These loci of exactness gather on curves emanating from the crack-tips and pointing towards the outside of series convergence disks. An analytical investigation of this phenomenon allows to relate the number and tangency angle at the crack-tip of these curves to the number and values of the zeros of Williams series angular eigenfunctions. Beyond its analytical interest in the understanding of Williams series framework, this property of exactness for truncated series can also help to improve the accuracy of experimental and computational techniques based on Williams series. [ABSTRACT FROM AUTHOR]

The Hawaiian Archipelago has served as a natural laboratory to assess genetic connectivity patterns across a broad spectrum of taxonomic and ecological diversity. Almost all these studies were based on a few targeted loci, but technologies now allow us to assess population structure with genomic coverage and greater resolution. Here, we provide a SNP-based analysis for an endemic surgeonfish, Acanthurus triostegus sandvicensis (manini) across the Hawaiian Archipelago and adjacent Johnston Atoll (N = 461). Based on 3649 SNPs, manini showed population structure in the main Hawaiian Islands, but genetic homogeneity across most of the northwestern extent of the archipelago (overall FST = 0.033, P < 0.001). Net migration occurred from Johnston Atoll into Hawai'i, providing further support for Johnston Atoll being a pathway for dispersal (or colonization) into Hawai′i. These results highlight the higher efficacy of genomic sequencing to characterize fine-scale patterns of connectivity relative to a targeted loci approach and, moving forward, may invoke a reassessment of past connectivity studies in a genomics framework. [ABSTRACT FROM AUTHOR]

We study the motivic and ℓ -adic realizations of the dg category of singularities of the zero locus of a global section of a line bundle over a regular scheme. We will then use the formula obtained in this way together with a theorem due to D. Orlov and J. Burke–M. Walker to give a formula for the ℓ -adic realization of the dg category of singularities of the zero locus of a global section of a vector bundle. In particular, we obtain a formula for the ℓ -adic realization of the dg category of singularities of the special fiber of a scheme over a regular local ring of dimension n. [ABSTRACT FROM AUTHOR]

Its base has length HT ht . By similar triangles, HT ht . The images of segments orthogonal to the major axis, like HT ht and HT ht , do not change length. In Figure 5, left, HT ht is the polar of the point at infinity on HT ht , and vice versa. [Extracted from the article]

The analytic solution of the average electron velocity vector W (t) of an electron swarm in gas under ac electric and dc magnetic fields ( E (t) and B , respectively) in a constant-collision-frequency model is extended to cover not only the known case of a right crossing angle ( E (t) ⊥ B ) but also the cases of arbitrary crossing angles ( E (t) ⊥̸ B ). The x, y, and z components of W (t) are obtained as explicit formulae with the following parameters: the amplitude E of E (t) , the angle θ between E (t) and B , the angular frequency ω E of E (t) , the cyclotron angular frequency ω B (subject to the strength B of B ), and the electron collision frequency ν . A basic feature that W (t) draws elliptic locus in velocity space is unchanged even under E (t) ⊥̸ B , but the plane including the locus may tilt when ω E , ω B , or ν varies. The derivation of W (t) based on the analytic solution of single electron motion is detailed and fundamental behavior of the W (t) loci is observed to understand the electron transport under E (t) × B fields. [ABSTRACT FROM AUTHOR]

The epistemology of risk examines how risks bear on epistemic properties. A common framework for examining the epistemology of risk holds that strength of evidential support is best modelled as numerical probability given the available evidence. In this essay I develop and motivate a rival 'relevant alternatives' framework for theorising about the epistemology of risk. I describe three loci for thinking about the epistemology of risk. The first locus concerns consequences of relying on a belief for action, where those consequences are significant if the belief is false. The second locus concerns whether beliefs themselves—regardless of action—can be risky, costly, or harmful. The third locus concerns epistemic risks we confront as social epistemic agents. I aim to motivate the relevant alternatives framework as a fruitful approach to the epistemology of risk. I first articulate a 'relevant alternatives' model of the relationship between stakes, evidence, and action. I then employ the relevant alternatives framework to undermine the motivation for moral encroachment. Finally, I argue the relevant alternatives framework illuminates epistemic phenomena such as gaslighting and crying wolf, and I draw on the framework to diagnose the undue skepticism endemic to rape accusations. [ABSTRACT FROM AUTHOR]

Developmental genes are frequently controlled by multiple enhancers sharing similar specificities. As a result, deletions of such regulatory elements have often failed to reveal their full function. Here, we use the Pitx1 testbed locus to characterize in detail the regulatory and cellular identity alterations following the deletion of one of its enhancers (Pen). By combining single cell transcriptomics and an in-embryo cell tracing approach, we observe an increased fraction of Pitx1 non/low-expressing cells and a decreased fraction of Pitx1 high-expressing cells. We find that the over-representation of Pitx1 non/low-expressing cells originates from a failure of the Pitx1 locus to coordinate enhancer activities and 3D chromatin changes. This locus mis-activation induces a localized heterochrony and a concurrent loss of irregular connective tissue, eventually leading to a clubfoot phenotype. This data suggests that, in some cases, redundant enhancers may be used to locally enforce a robust activation of their host regulatory landscapes. Developmental genes are frequently controlled by multiple enhancers sharing similar specificities, so deletions of such regulatory elements often fail to reveal their full function. Here the authors use the Pitx1 testbed locus to characterize the regulatory and cellular identity alterations following the deletion in vivo of one of its enhancers. [ABSTRACT FROM AUTHOR]

Elevated serum urate levels, a complex trait and major risk factor for incident gout, are correlated with cardiometabolic traits via incompletely understood mechanisms. DNA methylation in whole blood captures genetic and environmental influences and is assessed in transethnic meta-analysis of epigenome-wide association studies (EWAS) of serum urate (discovery, n = 12,474, replication, n = 5522). The 100 replicated, epigenome-wide significant (p < 1.1E–7) CpGs explain 11.6% of the serum urate variance. At SLC2A9, the serum urate locus with the largest effect in genome-wide association studies (GWAS), five CpGs are associated with SLC2A9 gene expression. Four CpGs at SLC2A9 have significant causal effects on serum urate levels and/or gout, and two of these partly mediate the effects of urate-associated GWAS variants. In other genes, including SLC7A11 and PHGDH, 17 urate-associated CpGs are associated with conditions defining metabolic syndrome, suggesting that these CpGs may represent a blood DNA methylation signature of cardiometabolic risk factors. This study demonstrates that EWAS can provide new insights into GWAS loci and the correlation of serum urate with other complex traits. Serum urate concentration can be studied in large datasets to find genetic and epigenetic loci that may be related to cardiometabolic traits. Here the authors identify and replicate 100 urate-associated CpGs, which provide insights into urate GWAS loci and shared CpGs of urate and cardiometabolic traits. [ABSTRACT FROM AUTHOR]

This work proposes alternative procedures for predicting the formability of DP600 AHS steel undergoing stamping processes. The damage localized locus (DLL), fracture locus (FL), and Bao-Wierzbicki fracture locus (BW-FL) are constructed unprecedentedly in partnership with the eminent Yld2000-2d yield criterion. The necking-based DLL is mathematically derived from a corresponding forming limit curve (FLC), and the fracture-based FL and BW-FL are from a fracture FLC (FFLC). The two curves are experimentally determined through a series of standard Nakajima tests. Regarding performance investigation, their embedded Yld2000-2d criterion is substituted by the long-lasting Hill'48 criterion. The established forming limit stress curves (FLSCs) and fracture FLSCs (FFLSCs) converted from the same FLC and FFLC, respectively, and yield models, are used for comparative study. All necking-based forming limits are verified with the strain paths resulting from the hole expansion and Fukui-cup tests, and all fracture-based ones are tested with those from the three-point bending test. The proposed Yld2000-2d-DLL and Yld2000-2d-FL perform as outstandingly as the settled Hill'48-DLL, Hill'48-FL, Hill'48-FLSC, Hill'48-FFLSC, Yld2000-2d-FLSC, and Yld2000-2d-FFLSC. However, the Yld2000-2d-BW-FL performance is uncertain. Another reliable option for the formability prediction of DP600-coupled Yld2000-2d-DLL and Yld2000-2d-FL is obtained. [ABSTRACT FROM AUTHOR]

Single-nucleotide polymorphisms (SNPs) and small genomic regions with multiple SNPs (microhaplotypes, MHs) are rapidly emerging as novel forensic investigative tools to assist in individual identification, kinship analyses, ancestry inference, and deconvolution of DNA mixtures. Here, we analyzed information for 90 microhaplotype loci in 4009 individuals from 79 world populations in 6 major biogeographic regions. The study included multiplex microhaplotype sequencing (mMHseq) data analyzed for 524 individuals from 16 populations and genotype data for 3485 individuals from 63 populations curated from public repositories. Analyses of the 79 populations revealed excellent characteristics for this 90-plex MH panel for various forensic applications achieving an overall average effective number of allele values (Ae) of 4.55 (range 1.04–19.27) for individualization and mixture deconvolution. Population-specific random match probabilities ranged from a low of 10–115 to a maximum of 10–66. Mean informativeness (In) for ancestry inference was 0.355 (range 0.117–0.883). 65 novel SNPs were detected in 39 of the MHs using mMHseq. Of the 3018 different microhaplotype alleles identified, 1337 occurred at frequencies > 5% in at least one of the populations studied. The 90-plex MH panel enables effective differentiation of population groupings for major biogeographic regions as well as delineation of distinct subgroupings within regions. Open-source, web-based software is available to support validation of this technology for forensic case work analysis and to tailor MH analysis for specific geographical regions. [ABSTRACT FROM AUTHOR]

A method for assigning characteristic functions on rational functions is presented herein. In systems with rational characteristic loci, input–output decoupling and commutative compensator design are possible. In this method, unlike previous research, which used the approximation method in a specific frequency range, a perturbation is created in the transfer function such that a new transfer function matrix has rational characteristic functions. It is shown that the stabilization of multivariate systems can be reduced to the stabilization of diagonal multivariate systems. Some examples of the implementation of the method are presented. The proposed method is not based on inverting the transfer function, so it is superior to inverse-based methods. The second priority of our approach is that the characteristic loci do not directly participate in the design process. [ABSTRACT FROM AUTHOR]

Key message: Fine mapping of barley 6H pericentromeric region identified FHB QTL with opposite effects, and high grain protein content was associated with increased FHB severity. Resistance to Fusarium head blight (FHB), kernel discoloration (KD), deoxynivalenol (DON) accumulation and grain protein content (GPC) are important traits for breeding malting barley varieties. Previous work mapped a Chevron-derived FHB QTL to the pericentromeric region of 6H, coinciding with QTL for KD resistance and GPC. The Chevron allele reduced FHB and KD, but unfavorably increased GPC. To determine whether the correlations are caused by linkage or pleiotropy, a fine mapping approach was used to dissect the QTL underlying these quality and disease traits. Two populations, referred to as Gen10 and Gen10/Lacey, derived from a recombinant near-isogenic line (rNIL) were developed. Recombinants were phenotyped for FHB, KD, DON, GPC and other agronomic traits. Three FHB, two DON and two KD QTLs were identified. One of the three FHB QTLs, one DON QTL and one KD QTL were coincident with the GPC QTL, which contains the Hv-NAM1 locus affecting grain protein accumulation. The Chevron allele at the GPC QTL increased GPC and FHB and decreased DON and KD. The other two FHB QTL and the other DON and KD QTL were identified in the regions flanking the Hv-NAM1 locus, and the Chevron alleles decreased FHB, DON and KD. Our results suggested that the QTL associated with FHB, KD, DON and GPC in the pericentromeric region of 6H was controlled by both pleiotropy and tightly linked loci. The rNILs identified in this study with low FHB severity and moderate GPC may be used for breeding malting barley cultivars. [ABSTRACT FROM AUTHOR]

Key message: Hessian fly resistance has centralized around resistance loci that are biotype specific. We show that field resistance is evident and controlled by a single locus on chromosome 7D. Hessian flies (Mayetiola destructor Say) infest and feed upon wheat (Triticum aestivum L) resulting in significant yield loss. Genetically resistant cultivars are the most effective method of Hessian fly management. Wheat breeders in the southern USA have observed cultivars exhibiting a "field resistance" to Hessian fly that is not detectable by greenhouse assay. The resistant breeding line "LA03136E71" and susceptible cultivar "Shirley" were crossed to develop a population of 200 random F4:5 lines using single seed descent. The population was evaluated in a total of five locations in North Carolina during the 2019, 2020, and 2021 seasons. A subsample of each plot was evaluated for the total number of tillers, number of infested tillers, and total number of larvae/pupae. From these data, the percent infested tillers, number of larvae/pupae per tiller, and the number of larvae/pupae per infested tiller were estimated. In all within and across environment combinations for all traits recorded, the genotype effect was significant (p < 0.05). Interval mapping identified a single large effect QTL distally on the short arm of chromosome 7D for all environment-trait combinations. This locus was identified on a chromosome where no other Hessian fly resistance/tolerance QTL has been previously identified. This novel Hessian fly partial-resistance QTL is termed QHft.nc-7D. Fine mapping must be conducted in this region to narrow down the causal agents responsible for this trait, and investigation into the mode of action is highly suggested. [ABSTRACT FROM AUTHOR]

The present work focuses upon the determination of deep drawing behavior of DP590 steel under different lubricating and warm forming conditions. The limiting drawing ratio (LDR) was observed to be 1.933 under 673K_Lubricated condition which is 3.53% more than other processing conditions. The modified Johnson–Cook (m-JC) and Johnson–Cook and Zerilli–Armstrong (JC–ZA) constitutive models have been used among which the JC–ZA model along with Hill'48 r-based displayed the best prediction ability of flow stress and yield locus, respectively. The stretch forming process has been performed to find the safe forming limits of the material and an effective improvement of 24% has been observed as the temperature increased from 300 to 673 K. Further, the adequate lubrication helped in increasing the strain ratio, thus, helped in increasing the range of limiting strains. The strain-based FLD has been converted into stress based and triaxiality and equivalent plastic strain FLD in order to remove excessive dependency over limiting strains. The deep drawing deformation path has been found to be lying in the uniaxial stress region of FLD. The best numerically predicted results of thickness distribution and drawn height have been obtained using the combination of Hiil'48 r-based yielding function and JC–ZA constitutive model. The coupled effect of high temperature and lubricating condition helped in increasing the LDR and the uniformity in thickness distribution along the walls of the deep drawn cup and further helped in reducing the maximum load needed for forming the cup. [ABSTRACT FROM AUTHOR]

We prove a conjecture of Kollár stating that the local fundamental group of a klt singularity x is finite. In fact, we prove a stronger statement, namely that the fundamental group of the smooth locus of a neighbourhood of x is finite. We call this the regional fundamental group. As the proof goes via a local-to-global induction, we simultaneously confirm finiteness of the orbifold fundamental group of the smooth locus of a weakly Fano pair. [ABSTRACT FROM AUTHOR]

Digitised collections and born digital items, such as photos or video, exist beyond the scale of human viewing. New methods are required to read, understand and work with the data, resulting in computation becoming increasingly central to both creation of a cultural reality and as the interpretative tool and practice. If artists' look, then how might a machine see as a critical tool? Developing work on computational culture and the Next Rembrandt project as unstable digital object, this paper considers how the medium affects computational critical practice. Drawing on Heidegger's view of causality and Derrida's grammatology, this paper explores how the medium acts a locus between the human and machine readings and the remediations that occur within the reading. This is developed as through a reading of how the interface translates the signs and symbols and how this affects the reading. By reconsidering the critical assemblage and using it to think with, the human and the machine are seen as critical partners. Attending to the materialities of the reading through a playful approach that decentres potential meaning encourages us to glimpse beneath the surface and gestures towards a critical practice as understanding both computation and its materiality. [ABSTRACT FROM AUTHOR]

Grain size is an important agronomic trait that influences the yield and end-use quality of bread wheat (Triticum aestivum L.). We conducted quantitative trait loci (QTL) analysis using recombinant inbred lines derived from a cross of a semi-dwarf modern variety with large grains (Zenkoujikomugi: Zen) and a landrace with small grains (Chinese Spring: CS). Grain size was evaluated as grain length (GL), grain width (GW), grain thickness (GT), and thousand-grain weight (TGW) under two environmental conditions. A major QTL (QGl.obu-4B) associated with GL was detected in both environments near the Rht-B1 locus for the semi-dwarf trait on chromosome 4B, despite Zen and CS having the same Rht-B1a allele. No QTL for GW was found in the QGl.obu-4B region, and QTLs for GT and TGW was detected in only one environment. To validate the effect of QGl.obu-4B, we developed two backcrossed populations in the CS and Zen genetic backgrounds. The Zen-derived allele conferred larger GL, GW, and GT, resulting in greater TGW (13.7% increase compared to the CS-derived allele) in the CS background. In contrast, the QGl.obu-4B effect was smaller in the Zen background, and the Zen-derived allele increased TGW by only 7.0%. The QTL was located within the 168-Mbp region tightly linked to the Rht-B1 locus. Further characterization and fine-mapping of QGl.obu-4B will facilitate the use of this allele by marker-assisted selection in wheat breeding programs. [ABSTRACT FROM AUTHOR]

University–industry interaction has many supporters and some detractors in the scholarly literature. Science, Technology and Innovation (STI) policy frameworks emphasise interactions between universities and stakeholders other than industry, and the contribution made by these interactions to a range of goals such as environmental sustainability. Given the significance of discourse to shape public opinion, it is important that academic and policy actors convey positive views of university interaction. We investigate whether this is happening by examining representations of university interactions in popular culture. Since public opinion can shape science, our investigation could also suggest new research questions. Our sample includes science fiction novels that won prestigious awards (Hugo, Nebula and Locus) for the genre, from the 1970s to the 2010s. The use of an objective corpus of the literature increases external validity, a methodological novelty in representations of science studies. We show how science fiction, predominantly, is critical of university interactions, reflecting a lack of convincing institutional narratives on their benefits. The apprehensions expressed about interactions with industry or other stakeholders are equivalent. We offer some recommendations for research on STI policy frameworks to incorporate critical views of university–society interaction, including threats to sustainability, and new research questions related to defence of non-disclosure of information for political reasons and conflicts of equity due to the lack of career progression for 'disengaged' academics. [ABSTRACT FROM AUTHOR]

Heterosis denotes the superiority of a hybrid plant over its parents. The use of heterosis has contributed significantly to yield improvement in crops. However, the genetic and molecular bases on heterosis are not fully understood. A large number of heterotic loci were identified for 12 yield-related traits in one parental population of chromosome segment substitution lines (CSSLs) and two test populations, which were interconnected by CSSLs derived from two rice genome-sequenced cultivars, Nipponbare and Zhenshan 97. Seventy-five heterotic loci were identified in both homozygous background of Zhenshan 97 and heterogeneous background of an elite hybrid cultivar Shanyou 63. Among the detected loci, at least 11 were colocalized in the same regions encompassing previously reported heterosis-associated genes. Furthermore, a heterotic locus Ghd8NIP for yield advantage was verified using transgenic experiments. Various allelic interaction at Ghd8 exhibited different heterosis levels in hetero-allelic combinations of five near-isogenic lines that contain a particular allele. The significant overdominance effects from some hetero-allelic combinations were found to improve yield heterosis in hybrid cultivars. Our findings support the role of allelic interaction at heterotic loci in the improvement of yield potential, which will be helpful for dissecting the genetic basis of heterosis and provide an optional strategy for the allele replacement in molecular breeding programs in hybrid rice. [ABSTRACT FROM AUTHOR]

The OCA2-HERC2 locus is responsible for the greatest proportion of eye color variation in humans. Numerous studies extensively described both functional SNPs and associated patterns of variation over this region. The goal of our study is to examine how these haplotype structures and allelic associations vary when highly variable markers such as microsatellites are used. Eleven microsatellites spanning 357 Kb of OCA2-HERC2 genes are analyzed in 3029 individuals from worldwide populations. We found that several markers display large differences in allele frequency (10% to 35% difference) among Europeans, East Asians and Africans. In Europe, the alleles showing increased frequency can also discriminate individuals with (IrisPlex) predicted blue and brown eyes. Distinct haplotypes are identified around the variants C and T of the functional SNP rs12913832 (associated to blue eyes), with linkage disequilibrium r2 values significant up to 237 Kb. The haplotype carrying the allele rs12913832 C has high frequency (76%) in blue eye predicted individuals (30% in brown eye predicted individuals), while the haplotype associated to the allele rs12913832 T is restricted to brown eye predicted individuals. Finally, homozygosity values reach levels of 91% near rs12913832. Odds ratios show values of 4.2, 7.4 and 10.4 for four markers around rs12913832 and 7.1 for their core haplotype. Hence, this study provides an example on the informativeness of multiallelic markers that, despite their current limited potential contribution to forensic eye color prediction, supports the use of microsatellites for identifying causing variants showing similar genetic features and history. [ABSTRACT FROM AUTHOR]

Lung function reflects the ability of the respiratory system and is utilized for the assessment of respiratory diseases. Because type 2 airway inflammation influences lung function, genome wide association studies (GWAS) for lung function would be improved by adjustment with an indicator of the inflammation. Here, we performed a GWAS for lung function with adjustment for exhaled nitric oxide (FeNO) levels in two independent Japanese populations. Our GWAS with genotype imputations revealed that the RNF5/AGER locus including AGER rs2070600 SNP, which introduces a G82S substitution of AGER, was the most significantly associated with FEV1/FVC. Three other rare missense variants of AGER were further identified. We also found genetic loci with three candidate genes (NOS2, SPSB2 and RIPOR2) associated with FeNO levels. Analyses with the BioBank-Japan GWAS resource revealed genetic links of FeNO and asthma-related traits, and existence of common genetic background for allergic diseases and their biomarkers. Our study identified the genetic locus most strongly associated with airway obstruction in the Japanese population and three genetic loci associated with FeNO, an indicator of type 2 airway inflammation in adults. Yamada, Motoike, Kojima et al. undertake a GWAS study on 19,722 participants from two Japanese populations for lung function with adjustment for fractional exhaled nitric oxide levels to account for airway inflammation. The authors identify variants of the RNF5/AGER locus and explore their three-dimensional protein interactions to better investigate the association between these variants and lung function. [ABSTRACT FROM AUTHOR]

Numerous indirect and in silico produced evidences suggest circular RNAs (circRNA) in mammals while thorough experimental proofs of their existence have rarely been reported. Biological studies of circRNA, however, should be based on experimentally verified circRNAs. Here, we describe the identification of two circRNAs originating from the gene locus of the translocation associated membrane protein 1 (TRAM1). Linear and potentially circular TRAM1-specific transcripts were identified in a transcriptome analysis of urine RNA of bladder cancer (BCa) patients versus healthy donors. Thus, we first focused on the topology of TRAM1-specific transcripts. We describe conclusive experimental evidence for the existence of TRAM1-specific circRNAs in the human BCa cell lines ECV-304 and RT-4. PCR-based methodology followed by cloning and sequencing strongly indicated the circular topology of two TRAM1 RNAs. Further, studies with exon fusion sequence-specific antisense oligonucleotides (asON) and RNase H as well as studies in the use of RNase R contribute to conclusive set of experiments supporting the circular topology of TRAM1 transcripts. On the biological side, TRAM1-specific circRNAs showed low expression levels and minor differences in BCa cell lines while linear TRAM1 transcripts displayed down-regulated expression in the higher cancer stage model ECV-304 versus more differentiated RT-4 cells. [ABSTRACT FROM AUTHOR]

Enhancing crop productivity and their nutritional quality are the key components and primary focus of crop improvement strategy for fulfilling future food demand and improving human health. Grain filling and endosperm development are the key determinants of grain yield and nutritional quality. GRAIN WIDTH and WEIGHT2 (GW2) gene encodes a RING-type E3 ubiquitin ligase and determines the grain weight in cereal crops. Here we report GW2 knockout (KO) mutants in Indica (var. MTU1010) through CRISPR/Cas9 genome editing. The endosperm of GW2-KO mutant seed displays a thick aleurone layer with enhanced grain protein content. Further the loss of function of OsGW2 results in improved accumulation of essential dietary minerals (Fe, Zn, K, P, Ca) in the endosperm of rice grain. Additionally, the mutants displayed an early growth vigour phenotype with an improved root and shoot architecture. The hull morphology of GW2-KO lines also showed improved, grain filling thereby promoting larger grain architecture. Together, our findings indicate that GW2 may serve as a key regulator of improved grain architecture, grain nutritional quality and an important modulator of plant morphology. The study offers a strategy for the development of improved rice cultivars with enriched nutritional quality and its possible implementation in other cereals as well. [ABSTRACT FROM AUTHOR]

Chickpea (Cicer arietinum L.) is predominantly an indeterminate plant and tends to generate vegetative growth when the ambient is conducive for soil moisture, temperature and certain other environmental conditions. The semi-determinate (SDT) types are comparatively early, resistant to lodging and found to be similar in their yield potential to indeterminate (IDT) lines. Indeterminate and semi-determinate genotypes are found to be similar during early stage, which makes it difficult to distinguish between them. Thus, there is a need to identify molecular markers linked either to indeterminate or semi-determinate plant types. The present study was carried out to study the genetics of semi-determinacy and identify molecular markers linked to stem growth habit. The study was undertaken in the cross involving BG 362(IDT) × BG 3078-1(SDT). All F1 plants were indeterminate, which indicates that indeterminate stem type is dominant over semi-determinate. In further advancement to F2 generation, F2 plants are segregated in the ratio of 3(Indeterminate): 1(Semi-determinate) that indicates that the IDT and SDT parents which are involved in the cross differed for a single gene. The segregation pattern observed in F2 is confirmed in F3 generation. The parental polymorphic survey was undertaken for molecular analysis using total of 245 SSR markers, out of which 41 polymorphic markers were found to distinguish the parents and were utilized for bulked segregant analysis (BSA). The segregation pattern in F2 indicates that the IDT (Indeterminate) and SDT (Semi-determinate) parents which are involved in the cross differed for single gene. The segregation pattern of F2 and F3 derived from the cross BG 362 (IDT) × BG 3078-1 (SDT) confirmed the genotypic structure of the newly found SDT genotype BG 3078-1 as dt1dt1Dt2Dt2. Three SSR markers TA42, Ca_GPSSR00560 and H3DO5 were found to be putatively linked to Dt1 locus regulating IDT stem growth habit. Our results indicate that the SSR markers identified for Dt1 locus helps to differentiate stem growth habit of chickpea in its early growth stage itself and can be efficiently utilized in Marker Assisted Selection (MAS) for changed plant type in chickpea. [ABSTRACT FROM AUTHOR]

Non-alcoholic fatty liver disease (NAFLD) constitutes a metabolic disorder with high worldwide prevalence and increasing incidence. The inflammatory progressive state, non-alcoholic steatohepatitis (NASH), leads to liver fibrosis and carcinogenesis. Here, we evaluated whether tyrosinase mutation underlies NASH pathophysiology. Tyrosinase point-mutated B6 (Cg)-Tyrc-2J/J mice (B6 albino) and C57BL/6J black mice (B6 black) were fed with high cholesterol diet (HCD) for 10 weeks. Normal diet-fed mice served as controls. HCD-fed B6 albino exhibited high NASH susceptibility compared to B6 black, a phenotype not previously reported. Liver injury occurred in approximately 50% of B6 albino from one post HCD feeding, with elevated serum alanine aminotransferase and aspartate aminotransferase levels. NASH was induced following 2 weeks in severe-phenotypic B6 albino (sB6), but B6 black exhibited no symptoms, even after 10 weeks. HCD-fed sB6 albino showed significantly higher mortality rate. Histological analysis of the liver revealed significant inflammatory cell and lipid infiltration and severe fibrosis. Serum lipoprotein analysis revealed significantly higher chylomicron and very low-density lipoprotein levels in sB6 albino. Moreover, significantly higher small intestinal lipid absorption and lower fecal lipid excretion occurred together with elevated intestinal NPC1L1 expression. As the tyrosinase point mutation represents the only genetic difference between B6 albino and B6 black, our work will facilitate the identification of susceptible genetic factors for NASH development and expand the understanding of NASH pathophysiology. [ABSTRACT FROM AUTHOR]

Rare, recurrent balanced translocations occur in a variety of cancers but are often not functionally interrogated. Balanced translocations with the immunoglobulin heavy chain locus (IGH; 14q32) in chronic lymphocytic leukemia (CLL) are infrequent but have led to the discovery of pathogenic genes including CCND1, BCL2, and BCL3. Following identification of a t(X;14)(q28;q32) translocation that placed the mature T cell proliferation 1 gene (MTCP1) adjacent to the immunoglobulin locus in a CLL patient, we hypothesized that this gene may have previously unrecognized importance. Indeed, here we report overexpression of human MTCP1 restricted to the B cell compartment in mice produces a clonal CD5+/CD19+ leukemia recapitulating the major characteristics of human CLL and demonstrates favorable response to therapeutic intervention with ibrutinib. We reinforce the importance of genetic interrogation of rare, recurrent balanced translocations to identify cancer driving genes via the story of MTCP1 as a contributor to CLL pathogenesis. Some genes that are part of balanced translocations are reported as drivers for tumourigenesis. Here, the authors report a translocation involving MTCP1 in chronic lymphocytic leukemia and show that MTCP1 overexpression leads to the disease in a murine model. [ABSTRACT FROM AUTHOR]

Key message: An enhanced grain weight locus from Agropyron cristatum chromosome 7P was verified in two wheat backgrounds, localized to the 7PS1-2 region. Novel translocation lines with this locus were evaluated. Agropyron cristatum is a wild relative of wheat that harbours elite genes for wheat improvement. The wheat-A. cristatum 7P disomic addition line II-5-1 exhibits high grain weight. Here, to dissect the genetic basis of grain weight contributed by A. cristatum chromosome 7P in wheat backgrounds, four segregated populations of the addition line were developed and evaluated in two wheat backgrounds. The results showed that A. cristatum chromosome 7P can stably and significantly increase the grain weight by approximately 2 g, mainly by increasing grain length at different grain weight levels of the wheat background. The locus for increased grain weight from chromosome 7P shows dominant inheritance independent of the wheat background. Moreover, two deletion lines and 23 translocation lines were identified by cytological methods and molecular markers, and an enlarged chromosome 7P bin map was constructed with 158 STS markers and 40 bin intervals. With the genetic populations of these deletion and translocation lines, the genetic locus of increased grain weight was narrowed down to bin 7PS1-2. Two translocation lines (7PT-A18 and 7PT-B4) with smaller 7P chromosomal segments exhibited an increase in grain weight, grain length and grain width simultaneously. These translocation lines carrying the 7PS1-2 chromosomal fragment will be valuable genetic resources for wheat grain weight improvement. Collectively, this study uncovers the grain weight locus from chromosome 7P and provides novel pre-breeding lines with enhanced grain weight. [ABSTRACT FROM AUTHOR]

Key message: Two major and stable QTLs for spike compactness and length were detected and validated in multiple genetic backgrounds and environments, and their pleiotropic effects on yield-related traits were analyzed. Spike compactness (SC) and length (SL) are greatly associated with wheat (Triticum aestivum L.) grain yield. To detect quantitative trait loci (QTL) associated with SC and SL, two biparental populations derived from crosses of Chuanmai42/Kechengmai1 and Chuanmai42/Chuannong16 were employed to perform QTL mapping in five environments. A total of 34 QTLs were identified, in which six major QTLs were repeatedly detected in more than four environments and the best linear unbiased prediction datasets, explaining 7.13–33.6% of phenotypic variation. These major QTLs were co-located in two genomic regions on chromosome 5A and 6A, namely QSc/Sl.cib-5A and QSc/Sl.cib-6A, respectively. By developing kompetitive allele-specific PCR (KASP) markers that linked to them, the two loci were validated in different genetic backgrounds, and their interactions were also analyzed. Comparison analysis showed that QSc/Sl.cib-5A was not Vrn-A1 and Q, and QSc/Sl.cib-6A was likely a new locus for SC and SL. Both QSc/Sl.cib-5A and QSc/Sl.cib-6A had pleiotropic effects on other yield-related traits including plant height, thousand grain weight and grain length. Therefore, the two loci combined with the developed KASP markers might be potentially applicable in wheat breeding. Furthermore, based on the spatiotemporal expression patterns, gene annotation, orthologous search and sequence differences, TraesCS5A01G301400 and TraesCS6A01G090300 were considered as potential candidates for QSc/Sl.cib-5A and QSc/Sl.cib-6A, respectively. These results provided valuable information for fine mapping and cloning of the two loci in the future. [ABSTRACT FROM AUTHOR]

Yeast breeding is a powerful tool for developing and improving brewing yeast in a number of industry-relevant respects. However, breeding of industrial brewing yeast can be challenging, as strains are typically sterile and have large complex genomes. To facilitate breeding, we used the CRISPR/Cas9 system to generate double-stranded breaks in the MAT locus, generating transformants with a single specified mating type. The single mating type remained stable even after loss of the Cas9 plasmid, despite the strains being homothallic, and these strains could be readily mated with other brewing yeast transformants of opposite mating type. As a proof of concept, we applied this technology to generate yeast hybrids with an aim to increase β-lyase activity for fermentation of beer with enhanced hop flavour. First, a genetic and phenotypic pre-screening of 38 strains was carried out in order to identify potential parent strains with high β-lyase activity. Mating-competent transformants of eight parent strains were generated, and these were used to generate over 60 hybrids that were screened for β-lyase activity. Selected phenolic off-flavour positive (POF +) hybrids were further sporulated to generate meiotic segregants with high β-lyase activity, efficient wort fermentation, and lack of POF, all traits that are desirable in strains for the fermentation of modern hop-forward beers. Our study demonstrates the power of combining the CRISPR/Cas9 system with classic yeast breeding to facilitate development and diversification of brewing yeast. Key points: • CRISPR/Cas9-based mating-type switching was applied to industrial yeast strains. • Transformed strains could be readily mated to form intraspecific hybrids. • Hybrids exhibited heterosis for a number of brewing-relevant traits. [ABSTRACT FROM AUTHOR]

In this paper, we show the existence of the Lelong–Demailly numbers of positive S-plurisubharmonic currents. Moreover, a valid definition of dd c g ∧ T is obtained for plurisubharmonic currents T and unbounded plurisubharmonic functions g. The importance of this definition comes from the sharpness of our condition on the Hausdorff dimension of the locus points of g. [ABSTRACT FROM AUTHOR]

This paper proposes a new diagnostic for the detection of stative sub-events in the decomposition of verbal predicates. The diagnostic is based on a certain type of presupposition triggered by additive operators like Greek ke 'also', which we call Stative Presuppositions. It is argued that the generation of such Stative Presuppositions requires the existence of a syntactically accessible constituent that denotes a predicate of states that additive operators can take scope over. We investigate the distribution of Stative Presuppositions and observe that not all verbs that support inferences to a result state give rise to them. Based on this distribution we argue for a non-uniform analysis of result verbs; whereas some verbs require an event-decompositional analysis, others are better captured by scalar- and incrementality-based analyses. We cast our analysis in the framework of Distributed Morphology and propose to explain non-uniformity based on how different types of verbal roots interact with verbal functional material. Moreover, treating roots as the locus of encyclopedic information explains lexical variation in the generation of Stative Presuppositions within sub-classes of result verbs. We strengthen our conclusions by considering and rejecting alternative syntactic and semantic mechanisms for generating Stative Presuppositions. We conclude that the availability of Stative Presuppositions with additive operators is currently the most reliable diagnostic for the detection of syntactically accessible result states in verbal decomposition. [ABSTRACT FROM AUTHOR]